A Geometric Interpretation of Categories of Type \tilde{A} and of Morphisms in the Infinite Radical
Journal article, Peer reviewed
Published version
View/ Open
Date
2019Metadata
Show full item recordCollections
- Institutt for lærerutdanning [3400]
- Publikasjoner fra CRIStin - NTNU [37175]
Abstract
We give a geometric realization of the module category of a hereditary algebra of type A~. We work with oriented arcs to define a translation quiver isomorphic to the Auslander-Reiten quiver of the module category of type A~. To get a description of the module category, we introduce long moves between arcs. These allow us to include the infinite radical in the geometric description. Finally, our results can also be used to describe the corresponding cluster categories by taking unoriented arcs instead.